# A note on the structure of two subsets of the parameter space in adaptive control problems.

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## Abstract

We study the geometric structure of two subsets of the parameter space that are of interest in the context of adaptive LQ-control. The first set can be considered as the set of possible limit points of an adaptive control algorithm, whereas the second can be seen as the set of desirable limit points. Our main result is that these sets are $C^\omega$-manifolds.
Original language Undefined 25-34 10 Systems and control letters 7 1 https://doi.org/10.1016/0167-6911(86)90097-6 Published - Feb 1986

## Keywords

• IR-70384
• $C^\omega$-manifold
• Adaptive LQ control
• EWI-16584
• MSC-93C40